Theorem AB ([1]})   Let \(\psi : {N}\rightarrow {R}_{\ge 0}\)  be an
approximating function, let \(\mathbf {y}\in I^m\) , and let \(f\)  and
\(g: r \rightarrow g(r) := r^{-m(n-1)}f(r)\)  be dimension functions such that
\(r^{-nm}f(r)\)  is monotonic. Let
\(\theta : {N}\rightarrow {R}_{\ge 0} \qquad \text{be defined by}\qquad \theta (q)=q\,g\left(\frac{\psi (q)}{q}\right)^{\frac{1}{m}}\,.\) 
